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In mathematics, the pointwise product of two functions is another function, obtained by multiplying the images of the two functions at each value in the domain. If f and g are both functions with domain X and codomain Y, and elements of Y can be multiplied (for instance, Y could be some set of numbers), then the pointwise product of f and g is another function from X to Y which maps x in X to f (x)g(x) in Y.

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rdf:type	yago:WikicatBinaryOperations yago:BooleanOperation113440935 yago:DataProcessing113455487 yago:Operation113524925 yago:PhysicalEntity100001930 yago:Process100029677 yago:Processing113541167
rdfs:label	Punktweises Produkt (de) 点ごとの積 (ja) Pointwise product (en) 逐点乘积 (zh)
rdfs:comment	Das punktweise Produkt in der Mathematik ist eine innere zweistellige Verknüpfung, die neben der Faltung als Produkt zweier Funktionen verstanden wird. Das punktweise Produkt ist nur definiert, wenn die Bildmengen so gewählt sind, dass alle Elemente miteinander multipliziert werden können. (de) In mathematics, the pointwise product of two functions is another function, obtained by multiplying the images of the two functions at each value in the domain. If f and g are both functions with domain X and codomain Y, and elements of Y can be multiplied (for instance, Y could be some set of numbers), then the pointwise product of f and g is another function from X to Y which maps x in X to f (x)g(x) in Y. (en) 2つの関数の点ごとの積は、定義域の各値における2つの関数の像を掛けることで得られる別の関数である。f と g がともに定義域が X で終域が Y の関数で、Y の元が掛けることができるとき（例えば Y は数からなる集合）、f と g の点ごとの積は X から Y への x ∈ X を f(x)g(x) に写す別の関数である。 (ja) 两个函数的逐点乘积（英語：pointwise product）由两函数在定义域上的每一值的映射相乘得到，仍是一个函数。若f 和g 都是定义域为X，上域为Y 的函数，且Y 中的元素可以与其他数相乘（例如Y可以是某个数集），则f 与g 的逐点乘积是从X 到Y 的另一个函数，这个函数将x ∈ X 映射到f(x)g(x)。 (zh)
dcterms:subject	Elementary algebra Binary operations
Wikipage page ID	3977272 (xsd:integer)
Wikipage revision ID	1122689814 (xsd:integer)
Link from a Wikipage to another Wikipage	Convolution Convolution theorem Mathematics Function (mathematics) Multiplication Elementary algebra Domain of a function Addition Field (mathematics) Fourier transform Range of a function Ring (mathematics) Binary operations Binary operation Codomain Pointwise Real number Set (mathematics) Map (mathematics) Union (set theory) Image (mathematics) K-algebra
sameAs	Pointwise product Pointwise product Pointwise product Pointwise product Pointwise product Pointwise product Pointwise product
dbp:wikiPageUsesTemplate	dbt:For dbt:Math dbt:Mvar dbt:Short_description dbt:Sub dbt:Sup dbt:Tmath dbt:Unreferenced dbt:Unordered_list
has abstract	Das punktweise Produkt in der Mathematik ist eine innere zweistellige Verknüpfung, die neben der Faltung als Produkt zweier Funktionen verstanden wird. Das punktweise Produkt ist nur definiert, wenn die Bildmengen so gewählt sind, dass alle Elemente miteinander multipliziert werden können. (de) In mathematics, the pointwise product of two functions is another function, obtained by multiplying the images of the two functions at each value in the domain. If f and g are both functions with domain X and codomain Y, and elements of Y can be multiplied (for instance, Y could be some set of numbers), then the pointwise product of f and g is another function from X to Y which maps x in X to f (x)g(x) in Y. (en) 2つの関数の点ごとの積は、定義域の各値における2つの関数の像を掛けることで得られる別の関数である。f と g がともに定義域が X で終域が Y の関数で、Y の元が掛けることができるとき（例えば Y は数からなる集合）、f と g の点ごとの積は X から Y への x ∈ X を f(x)g(x) に写す別の関数である。 (ja) 两个函数的逐点乘积（英語：pointwise product）由两函数在定义域上的每一值的映射相乘得到，仍是一个函数。若f 和g 都是定义域为X，上域为Y 的函数，且Y 中的元素可以与其他数相乘（例如Y可以是某个数集），则f 与g 的逐点乘积是从X 到Y 的另一个函数，这个函数将x ∈ X 映射到f(x)g(x)。 (zh)
prov:wasDerivedFrom	wikipedia-en:Pointwise_product?oldid=1122689814&ns=0
page length (characters) of wiki page	4613 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Pointwise_product
is Link from a Wikipage to another Wikipage of	Schwartz space Bounded variation Convolution theorem Glossary of calculus Tangent space Cauchy–Schwarz inequality Hadamard product (matrices) Symmetric convolution Pointwise Integral Illustration of the central limit theorem Pointwise multiplication Product function
is Wikipage redirect of	Pointwise multiplication Product function
is foaf:primaryTopic of	wikipedia-en:Pointwise_product

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